M. Breda, Ana et M. Sigarreta, J., Symmetry and transitive properties of monohedral f-triangulations of the Riemannian sphere, Acta mathematica Sinica. English series (Print) , 25(10), 2009, pp. 1609-1616
Here we give the complete description of the symmetry group and transitive properties of the set of all of monohedral triangulations of the Riemannian sphere by f-tilings. We shall also show that each monohedral f-tiling of the Riemannian sphere can be seen, up to a spherical isometry, as the singular set of a spherical isometric folding.